2052581030400 has 240 divisors, whose sum is σ = 6784053078528. Its totient is φ = 547074048000.

The previous prime is 2052581030377. The next prime is 2052581030413. The reversal of 2052581030400 is 40301852502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81049740 + ... + 81075060.

Almost surely, 2^{2052581030400} is an apocalyptic number.

2052581030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052581030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392026539264).

2052581030400 is an abundant number, since it is smaller than the sum of its proper divisors (4731472048128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2052581030400 is a wasteful number, since it uses less digits than its factorization.

2052581030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27463 (or 27442 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2052581030400 its reverse (40301852502), we get a palindrome (2092882882902).

The spelling of 2052581030400 in words is "two trillion, fifty-two billion, five hundred eighty-one million, thirty thousand, four hundred".